Identifying Solutions

Front

What is a solution of an equation in two variables?

Back

A solution of an equation in two variables is an ordered pair (x, y) that makes the equation true when substituted for x and y.

Front

How do you determine if an ordered pair is a solution to an equation?

Back

To determine if an ordered pair (x, y) is a solution to an equation, substitute x and y into the equation and check if the equation holds true.

Front

What does it mean for a point to lie on the graph of an equation?

Back

A point lies on the graph of an equation if its coordinates satisfy the equation.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How can you find the x-intercept of a line?

Back

To find the x-intercept of a line, set y = 0 in the equation and solve for x.

Front

What is the significance of the ordered pair (0, b) in a linear equation?

Back

The ordered pair (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

What is the significance of the ordered pair (a, 0) in a linear equation?

Back

The ordered pair (a, 0) represents the x-intercept of the line, where the line crosses the x-axis.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form Ax + By = C.